Magnetism and superconductivity within extended Hubbard model for a dimer. Exact results

B. Grabiec, S. Krawiec, M. Matlak

We find the eigenvalues $E_{\alpha }$ and eigenvectors $|E_{\alpha }>$ of the extended Hubbard dimer and we represent each part $E_{\alpha }|E_{\alpha }><E_{\alpha }|$ of the dimer Hamiltonian $(\alpha =1,2,...,16)$in the…